A communication device for providing an explicit channel state information, CSI, feedback in a wireless communication system includes a transceiver to receive, from a transmitter a radio signal via a radio time-variant frequency MIMO channel, the radio signal including downlink reference signals according to a reference signal configuration, and downlink signals including the reference signal configuration, and a processor. The processor estimates the CSI using measurements on the downlink reference signals of the radio channel according to the reference signal configuration over one or more time instants/slots, constructs a frequency-domain channel tensor using the CSI estimate, performs a higher-order principal component analysis, HO-PCA, on the channel tensor, identifies a plurality of dominant principal components of the channel tensor, thereby obtaining a compressed channel tensor, and reports to the transmitter the explicit CSI including the dominant principal components of the channel tensor.
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4. The communication device of claim 2, wherein the processor is configured to quantize the coefficients in the vectors uR,i, uT,j, and uS,k and the HO singular values sijk of the 3D channel tensor using a codebook approach, the number of complex coefficients to be quantized being given by Nrr1+Ntr2+Sr3 for the higher-order singular vectors, and a number of real coefficients to be quantized being given by r1r2r3 for the higher-order singular values, respectively.
6. The communication device of claim 5, wherein the values of r1,r2, r3, and r4 representing the number of dominant principal components of the 4D channel tensor are configured via the CSI report configuration by the transmitter, or they are reported by the communication device in the CSI report, or they are pre-determined and known at the communication device.
7. The communication device of claim 5, wherein the processor is configured to quantize the coefficients of the vectors uR,i, uT,j, uS,k, uD,l and the singular values sijkl using a codebook approach, a number of complex coefficients to be quantized being given by Nrr1+Ntr2+Sr3+Dr4 for the higher-order singular vectors, and a number of real coefficients to be quantized being given by r1r2r3r4 for the higher-order singular values, respectively.
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November 17, 2020
January 16, 2024
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